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Browse complete papersLet A and B enter into a partnership with capitals in the ratio 5 ∶ 6 and at the end of 8 months A withdrew from the business. If they shared the profits in the ratio 5 ∶ 9, the number of months B's capital remained in the business is
15
14
4
12
Correct answer
15
A, B and C enter into a partnership by pooling the capital. A advances one-third of the capital for one third of the time. B advances half of the capital for half of the time. C advances the remaining part of the capital for whole the period. The ratio in which they divide the profit obtained in the business is
3 ∶ 2 ∶ 7
4 ∶ 16 ∶ 9
4 ∶ 9 ∶ 6
6 ∶ 9 ∶ 11
Correct answer
3 ∶ 2 ∶ 7
A, B, C started a business by investing Rs. 6500, Rs. 8400 and 10,000 respectively. As working partner A takes 5% of the profit as his salary. A withdraws his capital after 6 months, B after 5 months and C after 3 months from the begining. If the profit earned was Rs. 7400, then the total amount received by A is (in Rs.)
2400
2760
2840
2655
Correct answer
2400
If the difference between the simple interest and compound interest for two years on a certain sum at the rate of 10% per annum when compounded half yearly is Rs. 124.05 then the sum is (in Rs.)
8000
6000
12,000
12,400
Correct answer
8000
If an amount doubles in 5 years at compound interest, then the number of years required to make it eight times at the same rate of compound interest is
20
12
18
15
Correct answer
20
A person invested his money in the three schemes P, Q and R. The amount invested in a scheme R was 150% of the amount invested in a scheme P and 240% of the amount invested in scheme Q. The rate of interest he gets from schemes P, Q and R are respectively 10%, 12% and 15% per annum. If the total interest accumulated is Rs. 3200 for an year, the investment in scheme Q is (in Rs.)
12,000
5000
8000
20,000
Correct answer
12,000
A person invest certain amounts in two banks in such a way that the simple interest from one bank at 10% per annum for 5 years is equal to that from another bank at 9% per annum for 6 years, then the ratio between the two amounts
10 ∶ 9
9 ∶ 10
27 ∶ 25
25 ∶ 26
Correct answer
10 ∶ 9
The value of \(\frac{1}{1^2 \cdot 3^2}+\frac{2}{3^2 \cdot 5^2}+\frac{3}{5^2 \cdot 7^2}\) + \(\frac{4}{7^2 \cdot 9^2}+\ldots+\frac{15}{29^2 \cdot 31^2}\) is
\(\frac{30 \times 32}{961}\)
\(\frac{120}{961}\)
\(\frac{1}{961}\)
\(\frac{70}{961}\)
Correct answer
\(\frac{30 \times 32}{961}\)
If \(x=\frac{3+\sqrt{6}}{5 \sqrt{3}-2 \sqrt{12}-\sqrt{32}+\sqrt{50}}\), then \(\frac{x^4-1}{x^4+1}=\)
1
\(\frac{2}{5}\)
\(\frac{4}{5}\)
\(\frac{3}{4}\)
Correct answer
1
Each mango costs Rs. 5 and each orange costs Rs. 7. If a person spends Rs. 38 on these two varieties of fruits, then the sum of the number of mangoes and oranges purchased by that person is
6
8
12
3
Correct answer
6